The University of Southampton
University of Southampton Institutional Repository

Boundaries of strongly accessible hyperbolic groups

Boundaries of strongly accessible hyperbolic groups
Boundaries of strongly accessible hyperbolic groups
We consider splittings of groups over finite and two-ended subgroups. We study the combinatorics of such splittings using generalisations of Whitehead graphs. In the case of hyperbolic groups, we relate this to the topology of the boundary. In particular, we give a proof that the boundary of a one-ended strongly accessible hyperbolic group has no global cut point.
1464-8997
51-97
Bowditch, B.H.
8f3cf0c9-0a10-4b70-8648-33fb2ade7ac9
Rivin, Igor
d9a04ed4-6d25-4cad-9d46-41a55437ed4c
Rourke, Colin
ac5e9e2f-4003-41e2-8927-a59f351e26af
Series, Caroline
fa87d6bc-f29e-4ea7-b6aa-ab34d9450501
Bowditch, B.H.
8f3cf0c9-0a10-4b70-8648-33fb2ade7ac9
Rivin, Igor
d9a04ed4-6d25-4cad-9d46-41a55437ed4c
Rourke, Colin
ac5e9e2f-4003-41e2-8927-a59f351e26af
Series, Caroline
fa87d6bc-f29e-4ea7-b6aa-ab34d9450501

Bowditch, B.H. , Rivin, Igor, Rourke, Colin and Series, Caroline (eds.) (1996) Boundaries of strongly accessible hyperbolic groups. Geometry and Topology Monographs: The Epstein Birthday Schrift, 1, 51-97.

Record type: Article

Abstract

We consider splittings of groups over finite and two-ended subgroups. We study the combinatorics of such splittings using generalisations of Whitehead graphs. In the case of hyperbolic groups, we relate this to the topology of the boundary. In particular, we give a proof that the boundary of a one-ended strongly accessible hyperbolic group has no global cut point.

PDF
m1-3.pdf - Accepted Manuscript
Restricted to Registered users only
Download (351kB)

More information

Published date: 1996

Identifiers

Local EPrints ID: 29764
URI: https://eprints.soton.ac.uk/id/eprint/29764
ISSN: 1464-8997
PURE UUID: 8137e7cb-0f4b-4228-86dd-541d59edd6ad

Catalogue record

Date deposited: 09 Jan 2007
Last modified: 17 Jul 2017 15:57

Export record

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×